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Finding the Third Proportional to 15,119 and 33,254

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Solution

The third proportional to 15,119 and 33,254 is: 73,141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,119 : 33,254 = 33,254 : x
  2. Step 2: Convert to fraction form
    15,119/33,254 = 33,254/x
  3. Step 3: Cross multiply
    15,119x = 33,254 × 33,254
  4. Step 4: Simplify right side
    15,119x = 1,105,828,516
  5. Step 5: Solve for x
    x = 1,105,828,516/15,119
  6. Step 6: Final answer
    x = 73,141.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.